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A030060 Third derivative of Catalan generating function/3!. 1
5, 56, 420, 2640, 15015, 80080, 408408, 2015520, 9699690, 45762640, 212469400, 973496160, 4411154475, 19800295200, 88158457200, 389753179200, 1712478031110, 7483097278800, 32540135136600 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

(2*(n+3))!/(3!*n!*(n+4)!) = (n+1)*(n+2)*(n+3)*C(n+3)/6, C(n): Catalan numbers

PROG

(Mupad) combinat::catalan(n) *binomial(n, 3) $ n = 3..21 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2007

CROSSREFS

Sequence in context: A174514 A041995 A062125 * A174249 A073563 A006658

Adjacent sequences:  A030057 A030058 A030059 * A030061 A030062 A030063

KEYWORD

nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.